Overgrips without the residue

Any suggestions? I'm thinking about getting some leather grips and then cover it with overgrips. Some of the overgrips I've used in the past leaves a residue on the replacement grip when I take it off so I'm hoping to avoid the same problem.

I still get some of the residue from underside of Supergrap remaining on the original grip, no matter what color I use. Just clean it up with a little alcohol. Works on removing the left over starter adhesive, too.